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Typology: Thesis
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MAT OPERATION (in Verilog)
(Hex) Add add R R[rd] = R[rs] + R[rt] (1) 0 / 20hex Add Immediate addi I R[rt] = R[rs] + SignExtImm (1,2) (^8) hex Add Imm. Unsigned addiu I R[rt] = R[rs] + SignExtImm (2) (^9) hex Add Unsigned addu R R[rd] = R[rs] + R[rt] 0 / 21hex And and R R[rd] = R[rs] & R[rt] 0 / 24hex And Immediate andi^ I R[rt] = R[rs] & ZeroExtImm (3) chex
Branch On Equal beq I if(R[rs]==R[rt]) PC=PC+4+BranchAddr (4)
(^4) hex
Branch On Not Equal bne I if(R[rs]!=R[rt]) PC=PC+4+BranchAddr (4) (^5) hex
Jump j J PC=JumpAddr (5) (^2) hex Jump And Link jal J R[31]=PC+8;PC=JumpAddr (5) (^3) hex Jump Register jr R PC=R[rs] 0 / 08hex
Load Byte Unsigned lbu I R[rt]={24’b0,MR[rs] +SignExtImm} (2)
(^24) hex
Load Halfword Unsigned
lhu (^) I R[rt]={16’b0,MR[rs] +SignExtImm} (2)
(^25) hex
Load Linked ll I R[rt] = M[R[rs]+SignExtImm] (2,7) (^30) hex Load Upper Imm. lui^ I R[rt] = {imm, 16’b0} f^ hex Load Word lw I R[rt] = M[R[rs]+SignExtImm] (2) (^23) hex Nor nor R R[rd] = ~ (R[rs] | R[rt]) 0 / 27hex Or or R R[rd] = R[rs] | R[rt] 0 / 25hex Or Immediate ori I R[rt] = R[rs] | ZeroExtImm (3) dhex Set Less Than slt R R[rd] = (R[rs] < R[rt])? 1 : 0 0 / 2ahex Set Less Than Imm. slti I R[rt] = (R[rs] < SignExtImm)? 1 : 0 (2) ahex Set Less Than Imm. Unsigned sltiu I R[rt] = (R[rs] < SignExtImm) ? 1 : 0 (2,6) b (^) hex
Set Less Than Unsig. sltu^ R R[rd] = (R[rs] < R[rt])? 1 : 0 (6) 0 / 2bhex Shift Left Logical sll R R[rd] = R[rt] << shamt 0 / 00hex Shift Right Logical srl R R[rd] = R[rt] >> shamt 0 / 02hex
Store Byte sb I MR[rs]+SignExtImm = Rrt (2) (^28) hex
Store Conditional sc I M[R[rs]+SignExtImm] = R[rt]; R[rt] = ( atomic )? 1 : 0 (2,7)
(^38) hex
Store Halfword sh I MR[rs]+SignExtImm = Rrt (2) (^29) hex
Store Word sw I M[R[rs]+SignExtImm] = R[rt] (2) 2bhex Subtract sub R R[rd] = R[rs] - R[rt] (1) 0 / 22hex Subtract Unsigned subu R R[rd] = R[rs] - R[rt] 0 / 23hex (1) May cause overflow exception (2) SignExtImm = { 16{immediate[15]}, immediate } (3) ZeroExtImm = { 16{1b’0}, immediate }
(5) JumpAddr = { PC+4[31:28], address, 2’b0 }
(7) Atomic test&set pair; R[rt] = 1 if pair atomic, 0 if not atomic
R opcode rs rt rd shamt funct 31 26 25 21 20 16 15 11 10 6 5 0 I opcode rs rt immediate 31 26 25 21 20 16 15 0 J opcode address 31 26 25 0
(Hex) Branch On FP True bc1t FI if(FPcond)PC=PC+4+BranchAddr (4) 11/8/1/-- Branch On FP False bc1f^ FI if(!FPcond)PC=PC+4+BranchAddr(4) 11/8/0/-- Divide div R Lo=R[rs]/R[rt]; Hi=R[rs]%R[rt] 0/--/--/1a Divide Unsigned divu^ R Lo=R[rs]/R[rt]; Hi=R[rs]%R[rt] (6) 0/--/--/1b FP Add Single add.s FR F[fd ]= F[fs] + F[ft] 11/10/--/ FP Add Double
add.d (^) FR {F[fd],F[fd+1]} = {F[fs],F[fs+1]} + {F[ft],F[ft+1]}
FP Compare Single c. x .s* FR FPcond = (F[fs] op F[ft])? 1 : 0 11/10/--/ y FP Compare Double
c. x .d* (^) FR FPcond = ({F[fs],F[fs+1]}^ op {F[ft],F[ft+1]})? 1 : 0 11/11/--/ y
div.d (^) FR {F[fd],F[fd+1]} = {F[fs],F[fs+1]} / {F[ft],F[ft+1]}
FP Multiply Single mul.s FR F[fd] = F[fs] * F[ft] 11/10/--/ FP Multiply Double
mul.d (^) FR {F[fd],F[fd+1]} = {F[fs],F[fs+1]} * {F[ft],F[ft+1]}
FP Subtract Single sub.s FR F[fd]=F[fs] - F[ft] 11/10/--/ FP Subtract Double
sub.d (^) FR {F[fd],F[fd+1]} = {F[fs],F[fs+1]} - {F[ft],F[ft+1]}
Load FP Single lwc1 I F[rt]=M[R[rs]+SignExtImm] (2) 31/--/--/-- Load FP Double
ldc1 (^) I F[rt]=M[R[rs]+SignExtImm];^ (2) F[rt+1]=M[R[rs]+SignExtImm+4]
Move From Hi mfhi R R[rd] = Hi 0 /--/--/ Move From Lo mflo^ R R[rd] = Lo 0 /--/--/ Move From Control mfc0 R R[rd] = CR[rs] 10 /0/--/ Multiply mult^ R {Hi,Lo} = R[rs] * R[rt] 0/--/--/ Multiply Unsigned multu R {Hi,Lo} = R[rs] * R[rt] (6) 0/--/--/ Shift Right Arith. sra^ R R[rd] = R[rt] >>> shamt 0/--/--/ Store FP Single swc1 I M[R[rs]+SignExtImm] = F[rt] (2) 39/--/--/-- Store FP Double
sdc1 (^) I M[R[rs]+SignExtImm] = F[rt];^ (2) M[R[rs]+SignExtImm+4] = F[rt+1] 3d/--/--/--
FR opcode fmt ft fs fd funct 31 26 25 21 20 16 15 11 10 6 5 0 FI opcode fmt ft immediate 31 26 25 21 20 16 15 0
Branch Less Than blt if(R[rs]R[rt]) PC = Label Branch Less Than or Equal ble if(R[rs]<=R[rt]) PC = Label Branch Greater Than or Equal bge if(R[rs]>=R[rt]) PC = Label Load Immediate li R[rd] = immediate Move move R[rd] = R[rs]
$zero 0 The Constant Value 0 N.A. $at 1 Assembler Temporary No
$v0-$v1 2- Values for Function Results and Expression Evaluation No
$a0-$a3 4-7 Arguments No $t0-$t7 8-15 Temporaries No $s0-$s7 16-23 Saved Temporaries Yes $t8-$t9 24-25 Temporaries No $k0-$k1 26-27 Reserved for OS Kernel No $gp 28 Global Pointer Yes $sp 29 Stack Pointer Yes $fp 30 Frame Pointer Yes $ra 31 Return Address No
Copyright 2009 by Elsevier, Inc., All rights reserved. From Patterson and Hennessy, Computer Organization and Design, 4th ed.
(4) BranchAddr = { 14{immediate[15]}, immediate, 2’b0 }
(6) Operands considered unsigned numbers (vs. 2 s comp.)’
Argument 6 Argument 5
Saved Registers
Local Variables
(1) opcode(31:26) == 0 (2) opcode(31:26) == 17ten (11hex ); if fmt(25:21)==16ten (10hex ) f = s (single); if fmt(25:21)==17ten (11hex ) f = d (double)
(-1) S^ × (1 + Fraction) × 2 (Exponent - Bias) where Single Precision Bias = 127, Double Precision Bias = 1023.
IEEE Single Precision and Double Precision Formats:
$sp 7fff fffchex
$gp 1000 8000hex
1000 0000hex
pc 0040 0000hex
(^0) hex
DATA ALIGNMENT
SIZE PREFIXES (10x^ for Disk, Communication; 2x^ for Memory)
The symbol for each prefix is just its first letter, except μ is used for micro.
opcode (31:26)
funct (5:0)
funct (5:0)
Binary Deci- mal
Hexa- deci- mal
Char- acter
Deci- mal
Hexa- deci- mal
Char- acter (1) sll^ add. f^ 00 0000^0 0 NUL^64 40 @ sub. f 00 0001 1 1 SOH 65 41 A j srl mul. f 00 0010 2 2 STX 66 42 B jal sra div. f 00 0011 3 3 ETX 67 43 C beq sllv sqrt. f 00 0100 4 4 EOT 68 44 D bne abs. f 00 0101 5 5 ENQ 69 45 E blez srlv mov. f 00 0110 6 6 ACK 70 46 F bgtz srav neg. f 00 0111 7 7 BEL 71 47 G addi jr 00 1000 8 8 BS 72 48 H addiu jalr 00 1001 9 9 HT 73 49 I slti movz 00 1010 10 a LF 74 4a J sltiu movn 00 1011 11 b VT 75 4b K andi syscall round.w. f 00 1100 12 c FF 76 4c L ori break trunc.w. f 00 1101 13 d CR 77 4d M xori ceil.w. f 00 1110 14 e SO 78 4e N lui sync floor.w. f 00 1111 15 f SI 79 4f O mfhi 01 0000 16 10 DLE 80 50 P (2) mthi 01 0001 17 11 DC1 81 51 Q mflo movz. f 01 0010 18 12 DC2 82 52 R mtlo movn. f 01 0011 19 13 DC3 83 53 S 01 0100 20 14 DC4 84 54 T 01 0101 21 15 NAK 85 55 U 01 0110 22 16 SYN 86 56 V 01 0111 23 17 ETB 87 57 W mult 01 1000 24 18 CAN 88 58 X multu 01 1001 25 19 EM 89 59 Y div 01 1010 26 1a SUB 90 5a Z divu 01 1011 27 1b ESC 91 5b [ 01 1100 28 1c FS 92 5c 01 1101 29 1d GS 93 5d ] 01 1110 30 1e RS 94 5e ^ 01 1111 31 1f US 95 5f _ lb add cvt.s. f 10 0000 32 20 Space 96 60 ‘ lh addu cvt.d. f 10 0001 33 21! 97 61 a lwl sub 10 0010 34 22 " 98 62 b lw subu 10 0011 35 23 # 99 63 c lbu and cvt.w. f 10 0100 36 24 $ 100 64 d lhu or 10 0101 37 25 % 101 65 e lwr xor 10 0110 38 26 & 102 66 f nor 10 0111 39 27 ’ 103 67 g sb 10 1000 40 28 ( 104 68 h sh 10 1001 41 29 ) 105 69 i swl slt 10 1010 42 2a * 106 6a j sw sltu 10 1011 43 2b + 107 6b k 10 1100 44 2c , 108 6c l 10 1101 45 2d - 109 6d m swr 10 1110 46 2e. 110 6e n cache 10 1111 47 2f / 111 6f o ll tge c.f. f 11 0000 48 30 0 112 70 p lwc1 tgeu c.un. f 11 0001 49 31 1 113 71 q lwc2 tlt c.eq. f 11 0010 50 32 2 114 72 r pref tltu c.ueq. f 11 0011 51 33 3 115 73 s teq c.olt. f 11 0100 52 34 4 116 74 t ldc1 c.ult. f 11 0101 53 35 5 117 75 u ldc2 tne c.ole. f 11 0110 54 36 6 118 76 v c.ule. f 11 0111 55 37 7 119 77 w sc c.sf. f 11 1000 56 38 8 120 78 x swc1 c.ngle. f 11 1001 57 39 9 121 79 y swc2 c.seq. f 11 1010 58 3a : 122 7a z c.ngl. f 11 1011 59 3b ; 123 7b { c.lt. f 11 1100 60 3c < 124 7c | sdc1 c.nge. f 11 1101 61 3d = 125 7d } sdc2 c.le. f 11 1110 62 3e > 126 7e ~ c.ngt. f 11 1111 63 3f? 127 7f DEL
S Exponent Fraction 31 30 23 22 0 S Exponent Fraction 63 62 52 51 0
0 1 2 3 4 5 6 7 Value of three least significant bits of byte address (Big Endian)
Interrupt Mask
Exception Code 31 15 8 6 2 Pending Interrupt
15 8 4 1 0
Number Name Cause of Exception Number Name Cause of Exception 0 Int Interrupt (hardware) 9 Bp Breakpoint Exception 4 AdEL Address Error Exception (load or instruction fetch)
Reserved Instruction Exception 5 AdES Address Error Exception (store) 11 CpU Coprocessor Unimplemented 6 IBE Bus Error on Instruction Fetch 12 Ov Arithmetic Overflow Exception 7 DBE Bus Error on Load or Store 13 Tr Trap 8 Sys Syscall Exception 15 FPE Floating Point Exception
103 , 2^10 Kilo- 10 15 , 2 50 Peta- 10 -3^ milli- 10 -15^ femto- 106 , 2^20 Mega- 1018 , 2 60 Exa- 10 -6^ micro- 10 -18^ atto- 109 , 2^30 Giga- 10 21 , 2 70 Zetta- 10 -9^ nano- 10 -21^ zepto- 1012 , 2^40 Tera- 10 24 , 2 80 Yotta- 10 -12^ pico- 10 -24^ yocto-
Stack
Dynamic Data
Static Data
Text
Reserved
IEEE 754 Symbols
Exponent Fraction Object 0 0 ± 0 0 ≠ 0 ± Denorm 1 to MAX - 1 anything ± Fl. Pt. Num. MAX 0 ±∞ MAX ≠ 0 NaN
Higher Memory Addresses
Lower Memory Addresses
Stack Grows
$sp
$fp
BD = Branch Delay, UM = User Mode, EL = Exception Level, IE =Interrupt Enable
Copyright 2009 by Elsevier, Inc., All rights reserved. From Patterson and Hennessy, Computer Organization and Design, 4th ed.